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Basic Technical Mathematics with Calculus

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ISBN-10: 0321131940

ISBN-13: 9780321131942

Edition: 8th 2005 (Revised)

Authors: Allyn J. Washington

List price: $153.27
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Book details

List price: $153.27
Edition: 8th
Copyright year: 2005
Publisher: Addison-Wesley Longman, Incorporated
Publication date: 7/7/2004
Binding: Hardcover
Pages: 1168
Size: 8.75" wide x 10.25" long x 1.75" tall
Weight: 5.346
Language: English

Basic Algebraic Operations
Numbers
Fundamental Laws and Operations of Algebra
Calculators and Approximate Numbers
Exponents
Scientific Notation
Roots and Radicals
Addition and Subtraction of Algebraic Expressions
Multiplication of Algebraic Expressions
Division of Algebraic Expressions
Solving Equations
Formulas and Literal Equations
Applied Word Problems
Geometry
Lines and Angles
Triangles
Quadrilaterals
Circles
Measurement of Irregular Areas
Solid Geometric Figures
Functions and Graphs
Introduction to Functions
More About Functions
Rectangular Coordinates
The Graph of a Function
Graphs on the Graphing Calculator
Graphs of Functions Defined by Tables of Data
The Trigonometric Functions
Angles
Defining the Trigonometric Functions
Values of Trigonometric Functions
The Right Triangle
Applications of Right Triangle
Systems of Linear Equations
Determinants
Linear Equations
Graphs of Linear Equations
Solving Systems of Two Linear Equations in Two Unknowns Graphically
Solving Systems of Two Linear Equations in Two Unknowns Algebraically
Solving Systems of Two Linear Equations in Two Unknowns by Determinants
Solving Systems of Three Linear Equations in Three Unknowns Algebraically
Solving Systems of Three Linear Equations in Three Unknowns by Determinants
Factoring and Fractions
Special Products
Factoring: Common Factor and Difference of Squares
Factoring Trinomials
The Sum and Difference of Cubes
Equivalent Fractions
Multiplication and Division of Fractions
Addition and Subtraction of Fractions
Equations Involving Fractions
Quadratic Equations
Quadratic Equations
Solution by Factoring
Completing the Square
The Quadratic Formula
The Graph of the Quadratic Function
Trigonometric Functions of Any Angle
Signs of the Trigonometric Functions
Trigonometric Functions of Any Angle
Radians
Applications of Radian Measure
Vectors and Oblique Triangles
Introduction to Vectors
Components of Vectors
Vector Addition by Components
Applications of Vectors
Oblique Triangles, the Law Of Sines
The Law of Cosines
Graphs of the Trigonometric Functions
Graphs of y = a sin x and y = a cos x
Graphs of y = a sin bx and y = a cos bx
Graphs of y = a sin (bx + c) and y = a cos (bx + c)
Graphs of y = tan x, y = cot x, y= sec x, y = csc x
Applications of Trigonometric Graphs
Composite Trigonometric Curves
Exponents and Radicals
Simplifying Expressions with Integral Exponents
Fractional Exponents
Simplest Radical Forms
Addition and Subtraction of Radicals
Multiplication and Division of Radicals
Complex Numbers
Basic Definitions
Basic Operations with Complex Numbers
Graphical Representation of Complex Numbers
Polar Form of a Complex Number
Exponential Form of a Complex Number
Products, Quotients, Powers, and Roots of Complex Numbers
An Application to Alternating-Current (AC) Circuits
Exponential and Logarithmic Functions
The Exponential and Logarithmic Functions
Graphs of y = b^x and y = log b x
Properties of Logarithms
Logarithms to the Base
Natural Logarithms
Exponential and Logarithmic Equations
Graphs on Logarithmic and Semilogarithmic Paper
Additional Types of Equations and Systems of Equations
Graphical Solution of Systems of Equations
Algebraic Solution of Systems of Equations
Equations in Quadratic Form
Equations with Radicals
Equations of Higher Degree
The Remainder Theorem and the Factor Theorem
Synthetic Division
The Roots of an Equation
Rational and Irrational Roots
Determinants and Matrices
Determinants
Expansion by Minors
Some Properties of Determinants
Matrices: Definitions and Basic Operations
Multiplication of Matrices
Finding the Inverse of a Matrix
Matrices and Linear Equations
Inequalities
Properties of Inequalities
Solving Linear Inequalities
Solving Nonlinear Inequalities
Inequalities Involving Absolute Values
Graphical Solution of Inequalities with Two Variables
Variation
Ratio and Proportion
Variation
Sequences and the Binomial Theorem
Arithmetic Sequences
Geometric Sequences
Infinite Geometric Sequences
The Binomial Theorem
Additional Topics in Trigonometry
Fundamental Trigonometric Identities
The Sum and Differences of Formulas
Double-Angle Formulas
Half-Angle Formulas
Solving Trigonometric Equations
The Inverse Trigonometric Functions
Plane Analytic Geometry
Basic Definitions
The Straight Line
The Circle
The Parabola
The Ellipse
The Hyperbola
Translation of Axes
The Second-Degree Equation
Polar Coordinates
Curves in Polar Coordinates
Introduction to Statistics
Frequency Distributions
Measures of Central Tendency
Standard Deviations
Normal Distributions
Statistical Process Control
Linear Regression
Nonlinear Regression
The Derivative
Limits
The Slope of a Tangent to a Curve
The Derivative
The Derivative as an Instantaneous Rate of Change
Derivatives of Polynomials
Derivatives of Products and Quotients of Functions
The Derivative of a Power of a Function
Differentiation of Implicit Functions
Higher Derivatives
Applications of the Derivatives
Tangents and Normals
Newton''s Method for Solving Equations
Curvilinear Motion
Related Rates
Using Derivatives in Curve Sketching
More on Curve Sketching
Applied Maximum and Minimum Problems
Differentials and Linear Approximations
Integration
Antiderivatives
The Indefinite Integral
The Area Under a Curve
The Definite Integral
Numerical Integration: The Trapezoidal Rule
Simpson